关于符号空间上比较映射δ的研究(Ⅱ)

Researches on the Comparing-Mapδon the Symbolic Space(Ⅱ)

摘要: 符号空间上的比较映射δ是与移位映射σ拓扑共轭的空间自映射,进一步研究了δ与σ的终于周期点的特征,证明了符号空间Σ2上的比较映射δ与移位映射σ具有完全相同的终于周期点集,即EP(δ)=EP(σ),并给出了关于δ与σ的终于周期点之间的关系的几个结论。
- 拓扑共轭 /
- 符号动力系统 /
- 符号空间 /
- 周期点 /
- 终于周期点
Abstract: The comparing-mapδon the symbolic space is topologically conjugate to the shiftmapσ.In this paper, characters about eventually periodic points ofδandσare studied ,it is proved thatδandσon the symbolic spaceΣ2have the same eventually periodic points set ,i. e.EP(δ)=EP(σ),and some relations between the eventually periodic points ofδandσare obtained.
- topological conjugacy /
- symbolic dynamical system /
- symbolic space /
- periodic points /
- eventually periodic points

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